The Future Circular Collider Vision Exploration of the 10 TeV scale Direct (100 TeV pp) + Indirect (e + e - )

To Sherlock Holmes: “Is there any other point to which you would wish to draw my attention?” Holmes: "To the curious incident of the dog in the night-time." To Holmes: "The dog did nothing in the night-time." Holmes: "That was the curious incident.” We have a/the Higgs: Is there anything else? The Dog(s) that did not Bark

No BSM? Beware Historical Hubris "So many centuries after the Creation, it is unlikely that anyone could find hitherto unknown lands of any value” - Spanish Royal Commission, rejecting Christopher Columbus proposal to sail west, < 1492 “The more important fundamental laws and facts of physical science have all been discovered” – Albert Michelson, 1894 "There is nothing new to be discovered in physics now. All that remains is more and more precise measurement" - Lord Kelvin, 1900 “Is the End in Sight for Theoretical Physics?” – Stephen Hawking, 1980

« Empty » space is unstable Dark matter Origin of matter Masses of neutrinos Hierarchy problem Inflation Quantum gravity … The Standard Model SUSY

Projected e + e - Colliders: Luminosity vs Energy Updated from TLEP physics study group: arXiv:

First FCC-ee Physics Study

FCC-ee Experimental Studies

Phenomenology Working Groups QCD and γγ physics (with exp) Peter Skands Precision electroweak calculations Sven Heinemeyer Flavour physics (with exp) Jernej Kamenik Model-building and new physics Andi Weiler Global analysis, combination, complementarity John Ellis

The Twin Frontiers of FCC-ee Physics Precision Measurements Springboard for sensitivity to new physics Experimental issues: –Systematics Theoretical issues: –Higher-order QCD –Higher-order EW –Mixed QCD + EW Rare Decays Direct searches for new physics Many opportunities Z: b, c, τ: W: 10 8 H: 10 6 t: 10 6

Precision FCC-ee Measurements Precision Higgs Precision Electroweak

Possible FCC-ee Precision Measurements

Why is there Nothing rather than Something? Effective field-theory (EFT) operators as relics of higher-energy physics: EFT operators with SU(2) × U(1) symmetry: Constrain with precision EW, Higgs data, TGCs...

FCC-ee Sensitivity to EFT Operators Possible new physics corrections to EWPOs: LEP constraints FCC-ee constraints See Λ ~ 100 TeV? JE, Sanz & You

Possible Future Higgs Measurements

Need to reduce theoretical uncertainties to match Essential for new physics interpretations

H Coupling Measurements M = ± 0.8 GeV, ε = JE & Tevong You e + e - coupling?

Flavour-Changing Higgs Couplings? BUT?

LHC Fits including Associated Production Using H signal strengths & VH kinematics in global fit Single- parameter fits JE, Sanz & Tevong You, arXiv:

Including LHC Triple-Gauge Couplings Higgs production LHC Triple-gauge couplings Global combination Individual operators JE, Sanz & Tevong You, arXiv:

FCC-ee Higgs Measurements vs EFTs LHC constraints FCC-ee constraints JE, Sanz & You

FCC-ee Sensitivity to 3h Coupling Loop corrections to σ(H+Z): 3h correction δ h energy-dependent δ Z energy-independent: can distinguish McCullough

What else is there? Supersymmetry Stabilize electroweak vacuum Successful prediction for Higgs mass –Should be < 130 GeV in simple models Successful predictions for couplings –Should be within few % of SM values Naturalness, GUTs, string, …, dark matter New motivations From LHC Run 1

Instability of Electroweak Vacuum Large M h → large self-coupling → blow up at low-energy scale Λ due to renormalization Small: renormalization due to t quark drives quartic coupling < 0 at some scale Λ → vacuum unstable Vacuum could be stabilized by Supersymmetry Degrassi, Di Vita, Elias-Miro, Giudice, Isodori & Strumia, arXiv: ±1.3 GeV

p-value of simple models ~ 5% (also SM) /fb Constrained MSSM Buchmueller, JE et al: arXiv:

5 1 20/fb 2012 Squark mass CMSSM Favoured values of squark mass also significantly above pre-LHC, > 1.6 TeV Buchmueller, JE et al: arXiv: Reach of LHC at High luminosity Constrained MSSM

Γ Z constraint on (m 0, m 1/2 ) plane in CMSSM: All points within one current σ of low-mass best-fit value Impact of LEP Precision Z on CMSSM ΓZΓZ O. Buchmueller, JE, K. de Vries et al.

Γ Z constraint on (m 0, m 1/2 ) plane in CMSSM: Points within one, two, three FCC-ee σ of low-mass best-fit value Impact of FCC-ee Precision Z on CMSSM ΓZΓZ O. Buchmueller, JE, K. de Vries et al.

M W constraint on (m 0, m 1/2 ) plane in CMSSM: All points within one current σ of low-mass best-fit value Impact of FCC-ee Precision on Susy K. De Vries (MasterCode) MWMW

Estimate of (m 0, m 1/2 ) in CMSSM on basis of EW precision measurements with low-mass best-fit central values Impact of FCC-ee Precision Z on CMSSM O. Buchmueller, JE, K. de Vries et al.

H to WW constraint on (m 0, m 1/2 ) plane in CMSSM: All points within one current σ of low-mass best-fit value Impact of LHC Precision H on CMSSM H to WW O. Buchmueller, JE, K. de Vries et al.

H to gg constraint on (m 0, m 1/2 ) plane in CMSSM: All points within one current σ of low-mass best-fit value Impact of LHC Precision H on CMSSM H to gg O. Buchmueller, JE, K. de Vries et al.

H to ZZ constraint on (m 0, m 1/2 ) plane in CMSSM: Points within one, two, three FCC-ee σ of low-mass best-fit value Impact of FCC-ee Precision H on CMSSM H to ZZ O. Buchmueller, JE, K. de Vries et al.

H to gg constraint on (m 0, m 1/2 ) plane in CMSSM: Points within one, two, three FCC-ee σ of low-mass best-fit value Impact of FCC-ee Precision H on CMSSM H to gg O. Buchmueller, JE, K. de Vries et al.

Estimate of (m 0, m 1/2 ) in CMSSM on basis of H measurements with low-mass best-fit central values O. Buchmueller, JE, K. de Vries et al. Impact of FCC-ee Precision H on CMSSM

LHC Reach for Supersymmetry O. Buchmueller, JE, K. de Vries et al. CMSSM, etc.

LHC - FCC-ee Comparison in CMSSM Compare LHC masses with FCC-ee measurements, Test SUSY at the loop level O. Buchmueller, JE, K. de Vries et al.

cf, LEP and LHC “Those who don't know history are doomed to repeat it…” –Edmund Burke “… and maybe also those who do.” LEP: Precision Z studies, W+W-, search for Higgs, anything else LHC: search for Higgs, anything else FCC-ee, -hh together: 50 years of physics ✔ ✖ ✔ ?